Finding the Third Proportional to 33,657 and 70,801

Step by Step Solution

1. Step 1: Write the proportion equation
   33,657 : 70,801 = 70,801 : x
2. Step 2: Convert to fraction form
   33,657/70,801 = 70,801/x
3. Step 3: Cross multiply
   33,657x = 70,801 × 70,801
4. Step 4: Simplify right side
   33,657x = 5,012,781,601
5. Step 5: Solve for x
   x = 5,012,781,601/33,657
6. Step 6: Final answer
   x = 148,937.27